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一．填空题．（24分，每空3分）

1．（3分）在边长为a厘米的正方形上剪下一个最大的圆，这个圆与正方形的周长比是．

2．（3分）一杯奶茶的含糖率是15%，把这杯奶茶平均分成四份后，每份的含糖率是．

3．（3分）三个连续奇数的和是645．这三个奇数中，最小的奇数是．4．（6分）一个九位数，最高位是奇数中最小的合数，百万位上是最小的质数，万位上是最大的一位数，千位上是同时能被2和3整除的一位数，百位上是最小的合数，其余各位上都是最小的自然数，这个数写作，读作．5．（6分）如果甲数=2×2×3×5，乙数=2×3×5×7，那么甲、乙数的最大公因数是，最小公倍数是．

6．（3分）一桶水连桶重25千克，倒出水的一半后，连桶重13千克，这只桶重千克．

二．解决问题．

7．（6分）一项工程，乙队单独做要8天完成，甲队单独做要10天，现在两队合做，多少天能完成这项工程的？

8．（10分）蜗牛要爬15米高的墙，每天爬5米滑下4米，要爬几天才能到墙顶？9．（10分）有甲、乙两项工作，张师傅单独完成甲工作要9天，单独完成乙工作要12天．王师傅单独完成甲工作要3天，单独完成乙工作要15天．如果两人合作完成这两项工作，最少需要多少天？

10．（10分）把三根同样为直径10厘米的木头，用绳子捆成一捆．如果绑3圈，需要多长的绳子？（接头不计）

11．（10分）六年级甲、乙、丙三个班植树，任务分配是：甲班要植三个班总棵数的40%，乙、丙两班植树棵数的比是4：3．当甲班植了200棵树时，正好完成三个班植树总棵数的．求丙班植树多少棵？

12．（10分）一块长方体钢锭，底面周长是20分米，长与宽的比是4：1，高比

宽少45%，它正好可以铸成高为6分米的圆锥体，圆锥体的底面积是多少平方分米？

三、解答题（共1小题，满分10分）

13．（10分）求阴影部分的面积（单位：厘米）

四、按要求计算：（10分）

14．（10分）按要求计算：

如图所示，正方形的面积是18dm2，求圆的面积．

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